4002658620 has 192 divisors, whose sum is σ = 12030197760. Its totient is φ = 992563200.

The previous prime is 4002658609. The next prime is 4002658657. The reversal of 4002658620 is 268562004.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5566621 + ... + 5567339.

It is an arithmetic number, because the mean of its divisors is an integer number (62657280).

Almost surely, 2^4002658620 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4002658620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6015098880).

4002658620 is an abundant number, since it is smaller than the sum of its proper divisors (8027539140).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4002658620 is a wasteful number, since it uses less digits than its factorization.

4002658620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 876 (or 874 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 33.

The square root of 4002658620 is about 63266.5679486409. The cubic root of 4002658620 is about 1587.7526654279.

The spelling of 4002658620 in words is "four billion, two million, six hundred fifty-eight thousand, six hundred twenty".